永磁直线电机的H_∞鲁棒控制系统设计

Design of H_∞ Robust Control System of Permanent Magnet Linear Motor

对矢量控制的永磁直线同步电机构成一个三环系统.为了克服不确定性因素和各种扰动对系统的影响,提高系统的鲁棒性能,在速度环和电流环内设计了H∞状态反馈控制器.将系统设计转化成H∞标准设计问题,然后通过求解线性矩阵不等式设计H∞状态反馈控制器.仿真结果表明,与常规的比例积分调节比例积分调节(PI)控制相比较,提出的控制策略使系统响应速度快,对扰动抑制能力强,对参数变化不敏感,具有较强的鲁棒性和伺服性能.

A three-loop system is constructed for a vector control permanent magnet linear synchronous motor （PMLSM）. In the speed-loop and current-loop, a H∞ state feedback controller is designed for high robustness to restrain disturbance and uncertainties. First, the system is converted into a standard H∞ control system. Then the H∞ state feedback controller is achieved by solving linear matrix inequality. The simulation results show that compared with the conventional method, the linear servo system with this controller can satisfy strong robustness for restraint disturbance and uncertainties and good performance of rapid tracking of input signal.